id string | problem string | answer string | answer_type string | category string | difficulty string | eval_score int64 | similar_problems list |
|---|---|---|---|---|---|---|---|
null | ABC stock just paid a dividend of $1.00 and is expected to pay dividends of $1.02, $1.15 and $1.28 next year, respectively. Then, the company is expected to grow at a constant rate of 2% per year. If the required return for this stock is 13%, what is the current value of ABC's stock? | None | null | null | null | null | null |
null | You are evaluating a project for the Oviedo Oil Company. The project requires an investment of $500,000 in assets that are fully depreciated to zero for tax purposes. Your best estimate of the project's annual revenues is $1,000,000 and annual cash costs are $600,000. The project will terminate in five years. If the co... | None | null | null | null | null | null |
null | The function f(x) = (2x)/((x^2 + 16)) has a maximum value equal to what? | None | null | null | null | null | null |
null | Thomson is an all-equity firm that has {eq}270,000
{/eq} shares of stock outstanding. The company is in the process of borrowing {eq}\$2.1
{/eq} million at {eq}5.5 \%
{/eq} interest to repurchase {eq}70,000
{/eq} shares of the outstanding stock.
What is the value of this firm if you ignore taxes?
a. {eq}\$8,910,0... | None | null | null | null | null | null |
null | Pell numbers are {eq}p_n = 2p_{n-1} + p_{n-2}{/eq} with initial conditions {eq}p_0 = 0, p_1 = 1{/eq}. They satisfy the closed form {eq}p_n = (1/2)(1 + \sqrt{2})^n + (1/2)(1 - \sqrt{2})^n{/eq}. Prove that {eq}\lim_{n\rightarrow \infty} \frac{p_n}{p_{n-1}} = 1 + \sqrt{2}{/eq}. | None | null | null | null | null | null |
null | Prehn Corporation manufactures and sells one product. The following information pertains to the company's first year of operations:
Variable cost per unit:
Direct materials$64
Fixed costs per year:
Direct labor$1,008,000
Fixed manufacturing overhead$2,520,000
Fixed selling and administrative$1,440,000
The compa... | None | null | null | null | null | null |
null | Dulcimer Co. has 30% of its sales in cash and the remainder on credit. It recently reported total sales of $472,000, total purchases of $310,000, total cash disbursements of $176,000, and total cash collections of $209,000. The company also determines that 15% of its purchases are for inventory and the remainder for ge... | None | null | null | null | null | null |
null | How do you find the arc length of the curve y^2=x^3 between x=0 and x=4? | None | null | null | null | null | null |
null | Bonds issued by the Coleman Manufacturing Company have a par value of $1,000, which of course is also the amount of principal to be paid at maturity. The bonds are currently selling for $900. They have 10 years remaining to maturity. The annual interest payment is 10% ($100). Compute the yield to maturity.
a. 11.75%
... | None | null | null | null | null | null |
null | The expected NPV of a project is $5,741 with a standard deviation of $1,265. Based on the coefficient of variation, how sensitive is the project's NPV to the assumptions in the projection?
A. very sensitive
B. moderately sensitive
C. not sensitive
D. somewhat sensitive
E. very insensitive | None | null | null | null | null | null |
null | A corporation has an opportunity to invest in a new project, the details of which are shown below. The WACC for a typical project of this type is {eq}14\ \%
{/eq}. If this project's WACC is used as the discount rate, what is the project's NPV? Cash outflow at time {eq}0 \ (\ Year \ 0)
{/eq}: {eq}\$ 65,000
{/eq}
Exp... | None | null | null | null | null | null |
null | If a firm has 20 percent of its capital structure in after-tax preferred stock and 80 percent in after-tax debt and common equity, the firm's weighted average cost of capital is _____.
A. the after-tax cost of debt.
B. the weighted average of the costs of the after-tax preferred stock, the firm's debt, and its common... | None | null | null | null | null | null |
null | If a firm has a single project with a positive NPV of $250,000 and the firm invests this amount today, the WACC that would represent the opportunity cost of making this investment would be the:
a. cost of equity.
b. cost of debt.
c. before-tax cost of debt.
d. after-tax cost of debt.
e. weighted average cost of ca... | None | null | null | null | null | null |
null | Why is $$\lim_{t \to 0} \frac {t}{\|x\|} = \frac {x_1}{\|x\|}$$ in the provided proof, specifically in the context of why the equation $\frac {tx_2}{\|x\|} = 0$ holds in the limit, given that $t \to 0$ and the proof considers the case where $x_2 \neq 0$ and $x_1 = 0$, potentially dividing by zero in the original expres... | None | null | null | null | null | null |
null | One bond has an 8% coupon rate, another has a 9% coupon rate, and a third has a 10% coupon rate. All are noncallable, par value, 10-year bonds with a yield to maturity of 10%. Assuming there is no default risk, which of the following is correct?
a) All three bonds have the same price.
b) The 8% bond has the greatest ... | None | null | null | null | null | null |
null | If a firm's assets are $3,000 and the firm's debt-to-equity ratio is 1.5, how much of the firm's assets are financed by creditors and how much is financed by stockholders? | None | null | null | null | null | null |
null | In a binomial experiment with {eq}n = 300{/eq} and {eq}p = .5{/eq}, find the probability that {eq}\hat{p}{/eq} is greater than 60%. | None | null | null | null | null | null |
null | You are an assistant to a senator who chairs an ad hoc committee on reforming taxes on telecommunication services. Based on your research, AT&T has spent over $15 million on related paperwork and compliance costs. Moreover, depending on the locale, telecom taxes can amount to as much as 25% of a consumer's phone bill. ... | None | null | null | null | null | null |
null | Suppose {eq}\displaystyle F'(x) = f(x)
{/eq}, and {eq}\displaystyle \int_1^3 f(x)\ dx = 5
{/eq}. Also, {eq}\displaystyle \int_1^3 F(3x) \ 3\ dx =
{/eq} | None | null | null | null | null | null |
null | A manufacturing company produces two products at plants in St. Louis and Atlanta. Shipping these products to warehouses in Chicago, New York, and Los Angeles gives them the opportunity to fill regular customer orders in those cities as well as to exploit some Export markets (shown in the table below). The costs of ship... | None | null | null | null | null | null |
null | A company using FIFO had a beginning inventory of $50,000, an ending inventory of $75,000, and a pretax income of $600,000. If the company had used LIFO, its beginning inventory would have been $60,000, its ending inventory would have been $70,000, and its pretax income would have been
a) less than $555,000.
b) betwe... | None | null | null | null | null | null |
null | The balance sheet is the financial statement most often referred to when analyzing credit risk.
a. True.
b. False. | None | null | null | null | null | null |
null | KJWE has a capital structure of 45% debt and 55% equity. KJWE is considering a project that requires an investment of $4.5 million. To finance this project, KJWE plans to issue 10-year bonds with a coupon interest rate of 9%. Each of these bonds has a $1,000 face value and will be sold to net KJWE $960. If the current ... | None | null | null | null | null | null |
null | A firm is evaluating an investment proposal with an initial investment of $5,000 and cash flows present value of $4,000. The net present value of the investment is $150. What does the $150 imply concerning the relationship between the internal rate of return for the investment and the firm's required rate of return?
a... | None | null | null | null | null | null |
null | A 4600 kg helicopter accelerates upward at 2.0 m/s2 at a rate of 1.8 m/s2 as it takes off. Determine the lift force exerted by the air on the propellers. | None | null | null | null | null | null |
null | Company X currently has a total debt of $600,000 and a return on assets of 10%. Its total debt-to-equity ratio is 50%, and its cost of equity is 15%.
The firm reinvests 40% of earnings in the firm.
The corporate tax rate is 40%.
Company X decides to change its debt-to-equity ratio to 100%.
What will be the firm's c... | None | null | null | null | null | null |
null | Oliver's Juice Company produces organic vacuum-packed juice. Oliver's has fixed costs of $22,000, and its marginal costs are given by the equation {eq}MC = 3Q^{2}
{/eq}. The current price of organic juice is $22.50. At what production levels is this firm making a profit?
A. {eq}Q
{/eq} < 65.7
B. {eq}Q
{/eq} > 65.7... | None | null | null | null | null | null |
null | If there is an increase in a firm's debt-to-equity ratio, we would expect that {eq}\rule{.5cm}{0.15mm}
{/eq}
a) equity would rise.
b) return on equity would rise.
c) operating income before interest and taxes (EBIT) would rise.
d) interest expenses would decline. | None | null | null | null | null | null |
null | If a borrower is offering a nominal rate of 6% with semiannual compounding, the effective annual rate is:
A) 6.00%.
B) 6.18%.
C) 6.09%.
D) 6.30%. | None | null | null | null | null | null |
null | What is the present value of a 6-year ordinary annuity of $1,000 per year plus an additional $500 at the end of year 6 if the annual interest rate is 6%? | None | null | null | null | null | null |
null | Using the income statement shown below, compute the return on sales for the sales region operating in Brisbane:
Sales$115,600
Variable expenses $62,800
Fixed expenses$24,300
Income (loss) $28,500 | None | null | null | null | null | null |
null | Assuming the capital structure is optimal, how many dollars worth of debt does the firm have if the firm's EBIT is $850,000, its tax rate is 35%, and its unlevered cost of capital is 12%, and its cost of debt is 7% and its cost of equity is 13%, when its debt is $3.5 million? | None | null | null | null | null | null |
null | An electron with energy equal to K1 = 5.13 x 10{eq}^2
{/eq} eV and an electron with energy equal to K2 = 1.74 x 10{eq}^2
{/eq} eV are trapped in a uniform magnetic field and move in circular paths in a plane perpendicular to the magnetic field. What is the ratio (r1/r2) of the radii of their orbits? | None | null | null | null | null | null |
null | On June 1, 2012, Grant Co. purchased office equipment for $6,000. The estimated useful life of the equipment was five years and the residual value $300. Assuming straight-line depreciation, the book value of the equipment at the end of 2013 (July 1, 2013) is
a. $3,840
b. $4,200
c. $4,680
d. $4,800 | None | null | null | null | null | null |
null | Current assets are $12 million. Fixed assets are $28 million. Long term debt is $8 million. Retained earnings are $6 million. How much is current liabilities?
a) 14
b) 6
c) 10
d) 20 | None | null | null | null | null | null |
null | On December 31, 2014, inventory was accidentally overstated by $8,000. Net income for 2014 will be:
a. $8,000 too high.
b. $8,000 too low.
c. 4,000 too high.
d. $4,000 too low. | None | null | null | null | null | null |
null | The Traeger Company's inventory balance on December 31, 2013, was $120,000 (based on a 12/31/13 physical count) before considering the following transactions:
1. Merchandise costing $32,000, shipped f.o.b. shipping point from a supplier on December 28, 2013, was received by Traeger on January 5, 2014.
2. Merchandise ... | None | null | null | null | null | null |
null | Do these companies meet the criteria for a loss-making company according to the IASB conceptual framework? Why or why not? Consider each company's financial performance for 2012 and 2013 and its financial position at the end of 2013, and explain your answer.
Baxley Baked Goods
Baxley Baked Goods reported net income o... | None | null | null | null | null | null |
null | Varner Construction uses a job order system. During one month, the company worked on three jobs. The following direct materials and direct labor costs were incurred:
Job 315 Job 316 Job 317 Total
Direct materials $11,000 $34,000 $19,500 $64,500
Direct labor $22,000 $46,500 $15,500 $84,000
If Job 315 consi... | None | null | null | null | null | null |
null | New York Stock exchange
A New York Stock exchange (NYSE) Common Stock trade is being made between three different accounts. If the profit to the first seller (or loss to the first buyer) is $4,600, and the loss to the second seller (or profit to the second buyer) is $7,500, and the trade is being made at market prices,... | None | null | null | null | null | null |
null | A 550-turn solenoid is 17 cm long. The current in it is 32 A. A 2.0 cm long straight wire cuts through the center of the solenoid, along a diameter. This wire carries a 27 A current downward (and is connected by other wires that don't concern us). What is the force on this wire assuming the solenoid's field points due ... | None | null | null | null | null | null |
null | On January 1, the inventory account had a balance of $1,140,000. During January, $350,000 in merchandise was purchased on account.
The beginning balance of the accounts payable account was $220,000. The ending balance of the accounts payable account was $210,000. During January, the general journal included this entry... | None | null | null | null | null | null |
null | A cheese maker buys two kinds of milk: whole milk, which costs $1.39 per gallon, and skim milk, which costs $0.99 per gallon. In order to make 1 gallon of whipping cream, which will be sold for $2.49 a gallon, 7 parts of skim milk are used combined with 3 parts of whole milk. If the cheese maker cans sell 10,000 gallon... | None | null | null | null | null | null |
null | Assume that you own a business and are considering buying a copier. The current market price of the copier is $28,000. You could buy a similar copier today for $26,000. If you buy the copier today, you will not have to pay for it for another year. How much is implied by the time value of money?
A. $0
B. $28,000
C. $... | None | null | null | null | null | null |
null | With $f(x)= \frac{2x}{x^2+1}$ and $f_1(x) = f(x)$, $f_n(x) = f(f_{n-1}(x))$, how can we determine $f_n(x)$ or $f_n^{(x)}$? | None | null | null | null | null | null |
null | Alameda Company uses a job order cost system and applies overhead based on estimated rates. The overhead application rate is based on total estimated overhead costs of $375,000 and direct labor hours of 8,500. During the month of January 2019, actual direct labor hours of 7,200 were incurred.
Use this information to d... | None | null | null | null | null | null |
null | The beta coefficient for the following situation: Risk-free rate = 10%, market return = 14%, return on market portfolio = 15%.
a. 1.25
b. 1.5
c. 1.75
d. 2 | None | null | null | null | null | null |
null | Eastwood Pumps currently buys component parts for its lawn sprinklers from North Pole Supply on terms of 2/10, net 30. The average purchase is for 1,500 units at a cost of $3.50 per unit. The company could make the component parts at a variable cost of $3.00 per unit. The annual requirement is 28,500 units. What is the... | None | null | null | null | null | null |
null | Which of the following statements is incorrect?
a. U.S. corporations own approximately 95 percent of all Japanese equity shares held outside Japan.
b. If X exceeds Y, then the value of a dollar received today is more valuable than Y dollars to be received in the future.
c. The Japanese government reduced barriers to... | None | null | null | null | null | null |
null | This question already has answers here: Prove that $\lim_{x \to \infty}\big(\frac{x}{x-1}\big)^x$ is also $e$. (4 answers) Closed 4 years ago. I am going over a solution given to solving the follow limit, $$\lim_{x\to \infty}(\frac{x}{x-1})^x$$ The solution continues as follows, Consider raising the function to $e^{ln\... | None | null | null | null | null | null |
null | Refer to the following table, which gives the demand and supply conditions in the market for tractor-trailer semi trucks in the United States in 2018.
Price per truck ($) Domestic Demand Domestic Supply
250,000 150,000 200,000
225,000 175,000 180,000
200,000 200,000 160,000
175,000 225,000 140,000
150,000 250,000 1... | None | null | null | null | null | null |
null | Amster Corporation manufactured 40,000 units of inventory in January. Each unit had an assembly cost of $75 and a storage cost of $5. If Amster had manufactured only 30,000 units, it would have been able to save $100,000 in storage cost. What is the financial advantage or disadvantage of the original production (instea... | None | null | null | null | null | null |
null | A government bond with a coupon rate of 4.4% makes semiannual coupon payments on January 13 and July 13 of each year. The Wall Street Journal reports the asked price for the bond on January 28 at 100:08. What is the invoice price of the bond? The coupon period has 182 days. | None | null | null | null | null | null |
null | An insurance company has 10,000 automobile policyholders. The expected yearly claim per policyholder is $200 with a standard deviation of $800. Approximate the probability that the yearly claim exceeds $2 million. | None | null | null | null | null | null |
null | Consider the system:
dx/dt = x - x^2
dy/dt = y^2 - y
a) Find and classify all the fixed points of this system.
b) Suppose x(0) = y(0) = a. Find the solution x(t) of the equation dx/dt = x - x^2 with x(0) = a. Your solution should be an expression for x(t) in terms of a and t.
c) For which values of a is the soluti... | None | null | null | null | null | null |
null | A plastic cylindrical tube, 3.00 mm in diameter, carries a uniformly distributed 1.45 nC charge. If the tube is infinitely long, what is the magnitude of the electric field at a point 8.10 mm above its center? | None | null | null | null | null | null |
null | Show that if $X$ is invertible, then $\det(-X) = (-1)^n\det(X)$, where $n$ is the size of the matrix. | None | null | null | null | null | null |
null | A uniformly charged insulating rod of length 14.3 cm is bent into the shape of a semicircle. The value of the Coulomb constant is 8.98755 x 10^9 Nm^2/C^2. If the rod has a total charge of -1.26 mu or micro coulombs, find the magnitude of the electric field at O, the center of the semicircle. | None | null | null | null | null | null |
null | Which of the following would result from the use of the LIFO inventory method under FIFO?
A. Higher gross profit and higher assets
B. Lower gross profit and lower assets
C. Higher gross profit and lower assets
D. Lower gross profit and higher assets | None | null | null | null | null | null |
null | FM Corporation received proceeds of $500,000 on 10-year, 8% bonds issued on January 1, 2000. The bonds had a face value of $500,000, pay interest annually on December 31st, and have a call price of 102. FM uses the straight-line method of amortization and the effective interest method for interest expense. On January 1... | None | null | null | null | null | null |
null | Find the flux of the vector field F(x,y,z) = xi + yj + 6zk across the surface S: the first-octant part of the plane 3x + 3y + z = 3, oriented upward. | None | null | null | null | null | null |
null | Consider a competitive labor market. A per-unit excise tax imposed on the buyers will:
a. increase the demand for labor.
b. decrease the demand for labor.
c. have no effect on the demand for labor.
d. cause the demand for labor to become more elastic.
e. cause the demand for labor to become less elastic. | None | null | null | null | null | null |
null | For the free particle energy eigenstate {eq}\displaystyle \langle x \mid E \rangle = \frac{1}{\sqrt a} \cos \left(\frac{\sqrt{2mE} x}{\hbar} \right)
{/eq}, calculate the expectation value {eq}\displaystyle \langle p \rangle
{/eq}. | None | null | null | null | null | null |
null | The Conley Company is deciding whether to offer credit terms of n/30 or 2/10, n/30. A sales analyst estimates that 65% of the customers will take advantage of the 2% discount. Sales are expected to increase by $150,000 per year if credit terms are made more liberal.
Net profit is estimated at 18% of revenues.
The cos... | None | null | null | null | null | null |
null | The following information is available for the month of July from Company M's accounting records.
Budgeted direct labor hours 42,000 hours
Actual direct labor hours 41,000 hours
Budgeted fixed overhead $126,000
Actual fixed overhead $120,500
If Company M allocates manufacturing overhead to production on the basis... | None | null | null | null | null | null |
null | Rosnan Industries' 2014 and 2013 balance sheets and income statements are shown below:
Balance Sheets
2014
2013
Cash and equivalents
$35
$25
Accounts receivable
160
145
Inventories
155
150
Total current asse... | None | null | null | null | null | null |
null | Suppose that the biologist tests the following hypothesis:
H0:p=0.25 vs. HA:p>0.25
Where p is the true population proportion of Black Carp in Lake Huron. Of 200 randomly sampled fish from Lake Huron, the biologist finds that 18% are Black Carp. Select from the following options the correct z-score and P-value associa... | None | null | null | null | null | null |
null | Consider a project with free cash flows in one year of $130,000 or $180,000, with each outcome being equally likely. The initial investment required for the project is $100,000, and the project's cost of capital is 20%. The risk-free interest rate is 10%.
What is the NPV of this project? | None | null | null | null | null | null |
null | Calculate the residue of the function $f(z)=\frac{z^{n}}{\sin z}, \,\,\, z\in \mathbb{C}$ at zero. Consider the Laurent expansion of the function. | None | null | null | null | null | null |
null | ABC company is considering the purchase of a new machine for $46,328. The new machine will have a 3 year service life with no salvage value. The incremental cash flows associated with the new machine are as follows:
Year 1: $15,631
Year 2: $35,641
Year 3: $5,012
Determine the average accounting return for the new mac... | None | null | null | null | null | null |
null | Jorge, the CFO of International Business Machines Corporation, was quoted in the New York Times recently when he commented on United States dollar's status as the world reserve currency and said, "We're too dependent on the dollar and this makes us vulnerable. We would like the euro to be even stronger. If it were, IBM... | None | null | null | null | null | null |
null | Money Inc. is considering an investment of $6,800,000 in a project with projected cash inflows of $2,360,000 in year 1, $3,010,000 in year 2 and $3,310,000 in year 3.
What is the internal rate of return, IRR, for the project?
(Round the answer to two decimal places.) | None | null | null | null | null | null |
null | Information from the financial statements of Cinturon Corporation and Xerox Corporation appears in the table in the exhibit on the next page. Selected data for both companies are presented in the following table:
Cinturon
Xerox
Sales (in millions)
$1,120
$24,400
... | None | null | null | null | null | null |
null | The supply equation for the Emperor oil electric regulator is given by {eq}p = \frac{1}{3}x + 7{/eq}, where p is the wholesale unit price in dollars and x is the quantity of regulators in units of a thousand. What price should the wholesale market expect when the equilibrium point of this product occurs at x = 18?
a. ... | None | null | null | null | null | null |
null | GS Cookie Co. forecast cash receipts for January and February of $9,000 and $10,000, respectively. Cash payments of $4,000 and $5,500 are expected in these two months. GS Cookie's Cash balance at the beginning of January was $5,000, a level that it attempts to maintain. At the beginning of the year, GS Cookie has a $13... | None | null | null | null | null | null |
null | The EPS ratio is favorable for Target and Walmart compared to their competitors. However, this could be due to a number of things. Which of the following items could be an explanation for Target's EPS? (Select all that apply.)
a. Target's relatively low dividend payout.
b. Target's use of debt financing.
c. Target's... | None | null | null | null | null | null |
null | What is the volume of the region between the surfaces y = 2z^2 and x = 2z^2 + y, where x, y, and z are non-negative? | None | null | null | null | null | null |
null | Wilson Products sells its handmade wallets for $25 each. Currently, the company sells 38,000 units annually but is considering a price increase. The firm has fixed costs of $190,000 and a unit variable cost of $13.
What is the break-even quantity if the company makes a price increase to $32?
a. 4,809 units
b. 6,025 ... | None | null | null | null | null | null |
null | Jane receives an insurance settlement offer of either $50,000 or a life annuity that pays $7,240 per year for 10 years. If she takes the life annuity, she will receive payments at the end of each year for the next 10 years. The closest annual interest rate at which Jane is indifferent to taking the life annuity or $50,... | None | null | null | null | null | null |
null | Choose the best answer.
Bill exchanged an asset with a $30,000 adjusted tax basis and a $35,000 fair market value for an asset with a $40,000 fair market value and received a $5,000 cash payment from the other party to the exchange. The exchange was not in return for a similar type of property.
What is Bill's recogni... | None | null | null | null | null | null |
null | You own 800 shares of Red, Inc.'s stock, which currently sells for $58 a share. Red, Inc. has announced a dividend of $2.1 per share with an ex-dividend date of April 13. On April 12, just prior to the announcement of the dividend, the company purchased 2,800 shares of put options with a strike price of $56 and a premi... | None | null | null | null | null | null |
null | Evaluate the following limit: {eq}\; \lim_{x \to \infty} \left(x \arctan \frac{1}{x} - x \arctan \frac{2}{x} \right) {/eq}. | None | null | null | null | null | null |
null | If a sample of 12 bolts is taken from a population of bolts with diameters normally distributed with mean {eq}\mu = 2" {/eq} and variance {eq}\sigma^2 = 0.0024 {/eq}, what is the probability the average diameter of the sample will not exceed 2.02"? | None | null | null | null | null | null |
null | Carr Corporation had a net cash flow provided by operating activities of $155,000,000, net cash flow used in investing activities of $192,000,000 (including cash spent for plant assets of $107,000,000), and a net cash flow used in financing activities of $33,500,000. Dividends of $5,000,000 were paid. Calculate the fre... | None | null | null | null | null | null |
null | Life Supply Inc., a supplier of medical instruments, uses the perpetual inventory method. The following was taken from the inventory records during January:
Date Units Unit Cost Total Cost
Jan. 1 16 $88 $1,408
Jan. 7 20 $90 $1,800
Jan. 15 15 $92 $1,380
Jan. 24 26 $94 $2,444
Jan. 31 19 $96 $1,824
If the ending invent... | None | null | null | null | null | null |
null | The special rule for the passive loss deduction generally disallows a deduction of passive losses to which of the following?
a. C corporations
b. Sole proprietorships
c. S corporations
d. Partnerships
e. Neither C nor S corporations | None | null | null | null | null | null |
null | If {eq}x^3 + y^3 = 65{/eq}, find the value of {eq}d^2y/dx^2{/eq} at the point (4, 1). | None | null | null | null | null | null |
null | You have been managing a $5 million portfolio that has a beta of 1.25 over the last year. The market's return last year was 12%. If you add $2 million of a stock that has a beta of 1.50 to your portfolio, what is the beta of the new portfolio? | None | null | null | null | null | null |
null | Suppose that a telephone switchboard of some company on the average handles 300 calls per hour, and that the board can make at most 10 connections per minute. Using the Poisson distribution, estimate the probability that the board will be overtaxed during a given minute. | None | null | null | null | null | null |
null | I have a complex sequence $a_n=(i-1)^n\frac{n!}{n^n}$ which I would like to find the radius of convergence of. I have tried using the ratio test $$\lim_{n \to \infty} |\frac{a_{n+1}}{a_n}|=\lim_{n \to \infty} |\frac{(i-1)^{n+1}(n+1)!/((n+1)^{n+1})}{(i-1)^n(n!/n^n)}|$$ which reduces to $$\lim_{n \to \infty} (i-1)\frac{n... | None | null | null | null | null | null |
null | Forsyth company has 2,000,000 shares outstanding. The company wants to issue $5 million worth of shares. Assume an underwriter's spread of 8%. Calculate the number of shares to be sold. | None | null | null | null | null | null |
null | At an activity level of 9,500 machine-hours in a month, Pardoe Corporation's total variable production engineering cost is $855,000 and its total fixed production engineering cost is $263,000. What would be the total production engineering cost per unit, both fixed and variable, at an activity level of 10,500 machine-h... | None | null | null | null | null | null |
null | Compute the probability that the sample mean is greater than 64, given a normal population with a mean of 65 and a standard deviation of 3, and a sample size of 46. | None | null | null | null | null | null |
null | In the step shown, the proton transfer pattern of arrow pushing is represented by which of the following?
a. loss of leaving group
b. rearrangement
c. nucleophilic attack
d. proton transfer | None | null | null | null | null | null |
null | Each of the following 3 x 3 matrices represents a transformation in the plane. Which of them is a dilation?
{eq}A= \left [ \begin{array}{ccc}
-1 & 0 & 0 \\
0 & 2 & 0 \\
0 & 0 & 3
\end{array} \right ]
{/eq}
{eq}B= \left [ \begin{array}{ccc}
1 & 0 & 0 \\
0 & -1 & 0 \\
0 & 0 & 1
\end{array} \right ]
{/eq}
{eq... | None | null | null | null | null | null |
null | Suppose $f:\mathbb{R} \to \mathbb{R}$ is continuous and $\lim_{x\to a}f(x) = 1$ for all $a \in \mathbb{Q}$. Which of the following statements are necessarily true?
(A) $f$ has a minimum value on $\mathbb{R}$.
(B) $f(x) \ge 0$ for all $x \in \mathbb{R}$.
(C) $f$ is bounded on $\mathbb{R}$.
(D) There exists $b \in \m... | None | null | null | null | null | null |
null | F Ltd. deducted the following reserves on its income statement for the current year: $10,000 reserve for doubtful accounts, $50,000 reserve for warranty claims, and $100,000 reserve for amounts due after the end of the year for merchandise sales with two- and three-year payment terms.
Determine the amount that is not ... | None | null | null | null | null | null |
null | In the calculation of the surface integral of a vector field, we have used three different parametrizations for the surfaces S1, S2 and S3: $$\Phi (u,v)=(2u,2v,1)$$ $$\Psi (u,v)=(2\cos (v),2\sin (v),u)$$ $$\chi (u,v)=(2u\cos (v),2u\sin (v),1)$$ It is known that $$\Phi '(u,v)=(2,0,0)$$ $$\Psi '(u,v)=(-2u\sin (v),2u\cos ... | None | null | null | null | null | null |
null | A perpetuity pays $10 each period, starting in one year. If the interest rate is 10%, what is the most I would pay for this perpetuity?
a. $100
b. $1000
c. $50
d. $110 | None | null | null | null | null | null |
null | Given that 72% of consumers prefer to purchase ice cream with a scoop in a cone, find the probability that 18 of 20 randomly selected consumers will prefer ice cream in a cone. Write only a number as your answer. Round to four decimal places. | None | null | null | null | null | null |
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